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arXiv 1802.05947gr-qchep-phhep-th
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量子引力的红外极限

Infrared limit of quantum gravity

C. Wetterich

摘要:

本文讨论了在标量场中存在宇宙学常数或有效势时量子引力的红外极限。对于正的有效标量势,由于引力子传播子的不稳定性,在平坦空间中的单圈微扰理论是发散的。泛函重整化通过避免不稳定性的耦合流解决了这个问题。这导致一个引力子势垒限制了大值标量场的有效势的最大增长。在这个势垒存在的情况下,具有场相关普朗克质量的变引力可以通过宇宙学逃逸解来解决宇宙学常数问题。讨论了红外不动点的强吸引力引起的宇宙学常数和宇宙子质量的微小值的自然性。

英文摘要:

We explore the infrared limit of quantum gravity in presence of a cosmological constant or effective potential for scalar fields. For a positive effective scalar potential, one-loop perturbation theory around flat space is divergent due to an instability of the graviton propagator. Functional renormalization solves this problem by a flow of couplings avoiding instabilities. This leads to a graviton barrier limiting the maximal growth of the effective potential for large values of scalar fields. In the presence of this barrier, variable gravity with a field dependent Planck mass can solve the cosmological constant problem by a cosmological runaway solution. We discuss the naturalness of tiny values of the cosmological constant and cosmon mass due to a strong attraction towards an infrared fixed point.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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